{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Learning in a Linear Basis Function Model\n",
    "\n",
    "In this notebook we ilustrate the bayesian learning in a linear basis function model, as well as the sequential update of a posterior distribution.\n",
    "\n",
    "Taken from Christopher Bishop's Pattern Recognition and Machine Learning book (p.155)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import multivariate_normal, norm\n",
    "from numpy.random import seed, uniform, randn\n",
    "from numpy.linalg import inv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We consider an input $x$, a target variable $t$ and a linear model of the form\n",
    "$$\n",
    "    y(x, {\\bf w}) = w_0 + w_1x\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x, a): return a[0] + a[1] * x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "seed(314)\n",
    "a = np.array([-0.3, 0.5])\n",
    "N = 30\n",
    "sigma = 0.2\n",
    "X = uniform(-1, 1, (N, 1))\n",
    "T = f(X, a) + randn(N, 1) * sigma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 250,
       "width": 382
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X, T, c=\"crimson\")\n",
    "plt.grid(alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our goal is to recover the values $w_0$ and $w_1$ from the data.\n",
    "\n",
    "Recall:\n",
    "$$\n",
    "    p({\\textbf w}|t) \\propto p(t| {\\textbf w}, \\beta) p(\\bf{w})\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "beta = (1 / sigma) ** 2 # precision\n",
    "alpha = 2.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "* $t \\sim \\mathcal{N}\\left({\\bf w}^Tx, \\beta^{-1}\\right)$ (The assigned probability for target variables)\n",
    "\n",
    "The posterior distribution of $\\bf w$ after $N$ observations is given by\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "    m_N &= S_N(S_0^{-1}m_0 + \\beta\\Phi^T{\\bf t}) \\\\\n",
    "    S_N^{-1} &= S_0^{-1} + \\beta\\Phi^T\\Phi\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "With\n",
    "* $\\Phi\\in\\mathbb{R}^{N\\times M}$\n",
    "* ${\\bf t}\\in\\mathbb{R}^N$\n",
    "\n",
    "If no data has been yet seen, we consider\n",
    "$$\n",
    "w \\sim \\mathcal{N}\\left(0, \\alpha^{-1}\\text{I}\\right)\n",
    "$$\n",
    "Which results in a posterior distribution of the form\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "    m_N &= \\beta S_N\\Phi^T{\\bf t} \\\\\n",
    "    S_N^{-1} &= \\alpha \\text{I} + \\beta\\Phi^T\\Phi\n",
    "\\end{align}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [],
   "source": [
    "def posterior_w(phi, t, S0, m0):\n",
    "    \"\"\"\n",
    "    Compute the posterior distribution of \n",
    "    a Gaussian with known precision and conjugate\n",
    "    prior a gaussian\n",
    "    \n",
    "    Parameters\n",
    "    ----------\n",
    "    phi: np.array(N, M)\n",
    "    t: np.array(N, 1)\n",
    "    S0: np.array(M, M)\n",
    "        The prior covariance matrix\n",
    "    m0: np.array(M, 1)\n",
    "        The prior mean vector\n",
    "    \"\"\"\n",
    "    SN = inv(inv(S0) + beta * Phi.T @ Phi)\n",
    "    mN = SN @ (inv(S0) @ m0 + beta * Phi.T @ t)\n",
    "    return SN, mN\n",
    "\n",
    "def sample_vals(X, T, ix):\n",
    "    \"\"\"\n",
    "    \n",
    "    Returns\n",
    "    -------\n",
    "    Phi: The linear model transormation\n",
    "    t: the target datapoint\n",
    "    \"\"\"\n",
    "    x_in = X[ix]\n",
    "    Phi = np.c_[np.ones_like(x_in), x_in]\n",
    "    t = T[[ix]]\n",
    "    return Phi, t\n",
    "\n",
    "def plot_prior(m, S, liminf=-1, limsup=1, step=0.05, ax=plt, **kwargs):\n",
    "    grid = np.mgrid[liminf:limsup + step:step, liminf:limsup + step:step]\n",
    "    nx = grid.shape[-1]\n",
    "    z = multivariate_normal.pdf(grid.T.reshape(-1, 2), mean=m.ravel(), cov=S).reshape(nx, nx).T\n",
    "    \n",
    "    return ax.contourf(*grid, z, **kwargs)\n",
    "\n",
    "def plot_sample_w(mean, cov, size=10, ax=plt):\n",
    "    w = np.random.multivariate_normal(mean=mean.ravel(), cov=cov, size=size)\n",
    "    x = np.linspace(-1, 1)\n",
    "    for wi in w:\n",
    "        ax.plot(x, f(x, wi), c=\"tab:blue\", alpha=0.4)\n",
    "        \n",
    "def plot_likelihood_obs(X, T, ix, ax=plt):\n",
    "    \"\"\"\n",
    "    Plot the likelihood function of a single observation\n",
    "    \"\"\"\n",
    "    W = np.mgrid[-1:1:0.1, -1:1:0.1]\n",
    "    x, t = sample_vals(X, T, ix)\n",
    "    mean = W.T.reshape(-1, 2) @ x.T\n",
    "\n",
    "    likelihood = norm.pdf(t, loc=mean, scale= np.sqrt(1 / beta)).reshape(20, 20).T\n",
    "    ax.contourf(*W, likelihood)\n",
    "    ax.scatter(-0.3, 0.5, c=\"white\", marker=\"+\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 720x864 with 12 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 853,
       "width": 717
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "SN = np.eye(2) / alpha\n",
    "mN = np.zeros((2, 1))\n",
    "\n",
    "seed(1643)\n",
    "N = 20\n",
    "nobs = [1, 2, 20]\n",
    "ix_fig = 1\n",
    "fig, ax = plt.subplots(len(nobs) + 1, 3, figsize=(10, 12))\n",
    "plot_prior(mN, SN, ax=ax[0,1])\n",
    "ax[0, 1].scatter(-0.3, 0.5, c=\"white\", marker=\"+\")\n",
    "ax[0, 0].axis(\"off\")\n",
    "plot_sample_w(mN, SN, ax=ax[0, 2])\n",
    "for i in range(0, N+1):\n",
    "    Phi, t = sample_vals(X, T, i)\n",
    "    SN, mN = posterior_w(Phi, t, SN, mN)\n",
    "    if i+1 in nobs:\n",
    "        plot_likelihood_obs(X, T, i, ax=ax[ix_fig, 0])\n",
    "        plot_prior(mN, SN, ax=ax[ix_fig, 1])\n",
    "        ax[ix_fig, 1].scatter(-0.3, 0.5, c=\"white\", marker=\"+\")\n",
    "        ax[ix_fig, 2].scatter(X[:i + 1], T[:i + 1], c=\"crimson\")\n",
    "        ax[ix_fig, 2].set_xlim(-1, 1)\n",
    "        ax[ix_fig, 2].set_ylim(-1, 1)\n",
    "        for l in range(2):\n",
    "            ax[ix_fig, l].set_xlabel(\"$w_0$\")\n",
    "            ax[ix_fig, l].set_ylabel(\"$w_1$\")\n",
    "        plot_sample_w(mN, SN, ax=ax[ix_fig, 2])\n",
    "        ix_fig += 1\n",
    "\n",
    "titles = [\"likelihood\", \"prior/posterior\", \"data space\"]\n",
    "for axi, title in zip(ax[0], titles):\n",
    "    axi.set_title(title, size=15)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the limit of an infinite number of datapoints, the posterior distribution would become a delta function centered on the true parameter values, shown by the white cross."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Other forms of prior over parameters can be considered. For example, the generalized Gaussian:\n",
    "\n",
    "$$\n",
    "    p({\\bf w}|\\alpha) = \\left[\\frac{q}{2}\\left(\\frac{q}{2}\\right)^{1/q}\\frac{1}{\\Gamma(1/q)}\\right]^M \\exp\\left(-\\frac{\\alpha}{2}\\sum_{j=1}^M|w_j|^q\\right)\n",
    "$$\n",
    "\n",
    "Finding the maximum posterior distribution over ${\\bf w}$ corresponds to minimization of the regularized error function given by:\n",
    "\n",
    "$$\n",
    "    \\frac{1}{2}\\sum_{n=1}^N\\left(t_n - {\\bf w}^T {\\bf\\phi}({\\bf x}_n)\\right)^2 + \\frac{\\lambda}{2}\\sum_{j=1}^{M}|w_j|^q\n",
    "$$\n",
    "\n",
    "The maximum posterior weight vector ${\\bf w}_{\\text{MAP}}$ considering a generalized Gaussian will not be (in every case) the mean, since the mean will not coincide with the mode."
   ]
  }
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